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5032962 = 2331137229
BaseRepresentation
bin10011001100110000000010
3100110200221000
4103030300002
52242023322
6255512430
760531234
oct23146002
910420830
105032962
112928380
121828716
131072aac
14950254
156963ac
hex4ccc02

5032962 has 64 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 1477440.

The previous prime is 5032961. The next prime is 5032987. The reversal of 5032962 is 2692305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5032961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21864 + ... + 22092.

It is an arithmetic number, because the mean of its divisors is an integer number (196650).

Almost surely, 25032962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292800).

5032962 is an abundant number, since it is smaller than the sum of its proper divisors (7552638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5032962 is a wasteful number, since it uses less digits than its factorization.

5032962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5032962 is about 2243.4263972772. The cubic root of 5032962 is about 171.3725334696.

The spelling of 5032962 in words is "five million, thirty-two thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 229 297 333 407 458 594 666 687 814 999 1221 1374 1998 2061 2442 2519 3663 4122 5038 6183 7326 7557 8473 10989 12366 15114 16946 21978 22671 25419 45342 50838 68013 76257 93203 136026 152514 186406 228771 279609 457542 559218 838827 1677654 2516481 5032962